Nuprl Lemma : simple-comb-1-es-sv
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:Type]. ∀[F:A ─→ B]. ∀[X:EClass(A)].
es-sv-class(es;lifting-1(F)|X|) supposing es-sv-class(es;X)
Proof
Definitions occuring in Statement :
simple-comb-1: F|X|
,
es-sv-class: es-sv-class(es;X)
,
eclass: EClass(A[eo; e])
,
event-ordering+: EO+(Info)
,
uimplies: b supposing a
,
uall: ∀[x:A]. B[x]
,
function: x:A ─→ B[x]
,
universe: Type
,
lifting-1: lifting-1(f)
Lemmas :
bag-size_wf,
nat_wf,
es-E_wf,
event-ordering+_subtype,
less_than_wf,
simple-comb-1_wf,
lifting-1_wf,
eclass_wf,
event-ordering+_wf,
es-sv-class_wf,
bag-size-zero,
le_weakening,
bag_combine_empty_lemma,
bag_size_empty_lemma,
false_wf,
bag-size-one,
bag-combine-single-left,
single-bag_wf,
bag-only_wf2,
single-valued-bag-if-le1,
decidable__lt,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
bag_size_single_lemma
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B:Type]. \mforall{}[F:A {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
es-sv-class(es;lifting-1(F)|X|) supposing es-sv-class(es;X)
Date html generated:
2015_07_22-PM-00_16_14
Last ObjectModification:
2015_01_28-AM-10_43_51
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